Question 1143373
Let {{{ a }}} = number of 50 ml bottles
Let {{{ b }}} = number of 200 ml bottles
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(1) {{{ a + b = 105 }}}
(2) {{{ 50a + 200b = 15000 }}} ( in mi )
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(1) {{{ 50a + 50b = 5250 }}}
Subtract (1) from (2)
(2) {{{ 50a + 200b = 15000 }}}
(1) {{{ -50a - 50b = -5250 }}}
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{{{ 150b = 9750 }}}
{{{ b = 65 }}}
and
(1) {{{ a + 65 = 105 }}}
(1) {{{ a = 40 }}}
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He got 40 of the 50 ml bottles
He got 65 of the 200 ml bottles
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check:
(2) {{{ 50a + 200b = 15000 }}}
(2) {{{ 50*40 + 200*65 = 15000 }}}
(2) {{{ 2000 + 13000 = 15000 }}}
(2) {{{ 15000 = 15000 }}}
OK